Answer:
Step-by-step explanation:
This is a Pythagorean Theorem Question
c^2 = a^2 + b^2
c= sqrt(5)
a = x
b = x This is an isosceles right triangle. The vertical side and the horizontal side are equal.
x^2 + x^2 = sqrt(5)^2
2x^2 = 5 Divide both sides by 2
x^2 = 5/2 Take the sqrt of both sides.
√x^2 = √5 / √2 Multiply right side by √2 on both top and bottom
x = √5*√2 / √2*√2
x = √10 /2
I’m not hundred percent sure must I believe it’s 0
Answer:
d. 20
Step-by-step explanation:
To answer the question given, we will follow the steps below:
we need to first find p(3)
p(x) = x+ 7/ x-1
we will replace all x by 3 in the equation above
p(3) = 3+7 / 3-1
p(3) = 10/2
p(3) = 5
Similarly to find q(2)
q (x) = x^2 + x - 2,
we will replace x by 2 in the equation above
q (2) = 2^2 + 2 - 2
q (2) = 4 + 0
q (2) = 4
The product of p(3) and q(2) = 5 × 4 = 20
Answer:

Step-by-step explanation:
Given
Hemisphere

Cone

Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.

Substitute 7 for r



Volume (V2) of a cone is:

Because the lead is cast into a cone, then they have the same volume.
So, we have:


Substitute 49 for h

Divide both sides by 49




<em>Hence, the radius of the cone is 3.74cm</em>